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Simplifying 20 = (150 + 20p) + -1(10 + 30p) Remove parenthesis around (150 + 20p) 20 = 150 + 20p + -1(10 + 30p) 20 = 150 + 20p + (10 * -1 + 30p * -1) 20 = 150 + 20p + (-10 + -30p) Reorder the terms: 20 = 150 + -10 + 20p + -30p Combine like terms: 150 + -10 = 140 20 = 140 + 20p + -30p Combine like terms: 20p + -30p = -10p 20 = 140 + -10p Solving 20 = 140 + -10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10p' to each side of the equation. 20 + 10p = 140 + -10p + 10p Combine like terms: -10p + 10p = 0 20 + 10p = 140 + 0 20 + 10p = 140 Add '-20' to each side of the equation. 20 + -20 + 10p = 140 + -20 Combine like terms: 20 + -20 = 0 0 + 10p = 140 + -20 10p = 140 + -20 Combine like terms: 140 + -20 = 120 10p = 120 Divide each side by '10'. p = 12 Simplifying p = 12
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